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Finding the Fourth Proportional to 4,286.16, 5,922.24 and 3,409.68

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Solution

The fourth proportional to 4,286.16, 5,922.24 and 3,409.68 is: 4,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.16 : 5,922.24 = 3,409.68 : x
  2. Step 2: Convert to fraction form
    4,286.16/5,922.24 = 3,409.68/x
  3. Step 3: Cross multiply
    4,286.16x = 5,922.24 × 3,409.68
  4. Step 4: Simplify right side
    4,286.16x = 20,192,943.28
  5. Step 5: Solve for x
    x = 20,192,943.28/4,286.16
  6. Step 6: Final answer
    x = 4,711.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.